What the perimeter of a triangle

Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans

Valentin [98]

Answer:

1. $2r+1.6b=10$

2. $r=5-0.8b$

3. $b=6.25-1.25r$

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

$2r$

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

$1.6b$

Knowing that she spends $10, you can write the following equation:

$2r+1.6b=10$

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

$2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b$

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

$2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r$

7 0

3 years ago

Indicate true or false as to whether the following equation is quadratic 2x-4x+1=0

saul85 [17]

The answer to the problem would be false

3 0

3 years ago

Read 2 more answers

what are the four different ways to solve a quadratic equation? When would you prefer to use each method?

Simora [160]

Answer:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

Step-by-step explanation:

There are four methods of solving quadratic equation:

1. Factorization method

2. Formula method

3. Completing the square method

4. Graphical method

1. Factorization method: Use factorization method when the quadratic equation can easily be factorize.

Example: x^2 - 4x - 12 = 0

(x-2)(x+6)

2. Formula method: This can be used when factoring the quadratic equation looks difficult or you are given instruction to use formula method

3. Completing the square method: Use completing the square method when you are instructed to do so.

4. Graphical method: This method is used when instructed to find x intercept.

5 0

4 years ago

Read 2 more answers

HELPPPPPPP on this question.! I need to pass.

timurjin [86]

9514 1404 393

Answer:

12.25 (or -18.75)

Step-by-step explanation:

If you pay attention to the square of a binomial, ...

(x -a)² = x² -2ax +a²

You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².

In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.

So, you can think of this ambiguous question in a couple of ways.

<u>Concern is only with the x-terms</u>:

x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides

(x -3.5)² +31 = 12.25 . . . . write the x-terms as a square

<u>Concern with the equation overall</u>:

You want the end result to have the x-terms in the form of the square ...

(x -3.5)² = x -7x +12.25

The left side of the equation can be put in that form by adding -18.75 to both sides;

x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides

x² -7x +12.25 = -18.75 . . . . . . . . . simplify

(x -3.5)² = -18.75 . . . . . . write the left side as a square

__

The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.

3 0

3 years ago

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were teste

Elina [12.6K]

Answer:

(1) 330

(2) 692

(3) 110

(4) 43.25

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

4 0

3 years ago